Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
21.10.a.c	$21$	$10$	21.a	1.a	$1$	$2$	$2$	$10.816$	\(\Q(\sqrt{345}) \)	None	✓	$1$	$0$	\(30\)	\(-162\)	\(1128\)	\(4802\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(15-\beta )q^{2}-3^{4}q^{3}+(58-30\beta )q^{4}+\cdots\)
21.10.a.d	$21$	$10$	21.a	1.a	$1$	$3$	$3$	$10.816$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-13\)	\(243\)	\(2398\)	\(-7203\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-4-\beta _{1})q^{2}+3^{4}q^{3}+(555+7\beta _{1}+\cdots)q^{4}+\cdots\)